What is (\partial)/(\partial x)(x^6y^4-x^5y^3) ?

The answer to (\partial)/(\partial x)(x^6y^4-x^5y^3) is 6y^4x^5-5y^3x^4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(x^6y^4-x^5y^3)

\frac{\partial}{\partial x} (x^{6} y^{4} - x^{5} y^{3})

6 y^{4} x^{5} - 5 y^{3} x^{4}

Solution steps

\frac{\partial}{\partial x} (x^{6} y^{4} - x^{5} y^{3})

Treat

y

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (x^{6} y^{4}) - \frac{\partial}{\partial x} (x^{5} y^{3})

\frac{\partial}{\partial x} (x^{6} y^{4}) = 6 y^{4} x^{5}

\frac{\partial}{\partial x} (x^{5} y^{3}) = 5 y^{3} x^{4}

= 6 y^{4} x^{5} - 5 y^{3} x^{4}

\int (\frac{1}{x ^{2} - 4}) d x

(0, - 3), (- 4, 2)

s^{3}

\int + \frac{sin ( x )}{cos ( x ) - cos ^{2} ( x )} d x

\int \frac{y}{y + 1 - ( y + 1 )} d y

What is (\partial)/(\partial x)(x^6y^4-x^5y^3) ?
The answer to (\partial)/(\partial x)(x^6y^4-x^5y^3) is 6y^4x^5-5y^3x^4